Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-33\cdot x+38\cdot y-521=0# and #-45\cdot x-17\cdot y-785=0# divide the plane into four areas, indicated in the figure below as I, II, III and IV.
Which area is the solution of the following inequalities?
\[-33\cdot x+38\cdot y-521\gt0, \quad -45\cdot x-17\cdot y-785\lt0 \]

Which area is the solution of the following inequalities?
\[-33\cdot x+38\cdot y-521\gt0, \quad -45\cdot x-17\cdot y-785\lt0 \]
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